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Earn +20 ptsQ: If x is irrational what would x be if x squared is rational?
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Continue Learning about Algebra
Can you add two irrational numbers and get a rational number?
Yes - if I had an irrational number x, and I added that to the number (7-x), I would end up with 7.If the number is irrational, it can be subtracted from a rational/integer to make another irrational.
Why is the product of a non - zero rational number and an irrational number is irrational?
Let q be a non-zero rational and x be an irrational number.Suppose q*x = p where p is rational. Then x = p/q. Then, since the set of rational numbers is closed under division (by non-zero numbers), p/q is rational. But that means that x is rational, which contradicts x being irrational. Therefore the supposition that q*x is rational must be false ie the product of a non-zero rational and an irrational cannot be rational.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
If X is irrational and Y is rational then X plus Y is irrational.?
Yes.
If x is a rational number and y is an irrational number what can you say about x plus y?
It is irrational.
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